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Question

# A light weight boy holds two heavy dumbbells of equal masses with outstretched arms while standing on a turn-table which is rotating at an angular frequency ω1 when the dumbbells are at distance r1 from the axis of rotation. The boy suddenly pulls the dumbbells towards his chest until they are at distance r2 from the axis of rotation. The new angular frequency of rotation ω2 of the turn-table will be equal to

A
ω1r2r1
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B
ω1r21r22
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C
ω1r1r2
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D
ω1r22r21
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Solution

## The correct option is B ω1r21r22Use the principle of conservation of angular momentum I1ω1=I2ω2∴ω1r21=ω2r22ω2=ω1r21r22

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